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Finding the Fourth Proportional to 1,788.29, 2,468.34 and 1,257.29

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Solution

The fourth proportional to 1,788.29, 2,468.34 and 1,257.29 is: 1,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.29 : 2,468.34 = 1,257.29 : x
  2. Step 2: Convert to fraction form
    1,788.29/2,468.34 = 1,257.29/x
  3. Step 3: Cross multiply
    1,788.29x = 2,468.34 × 1,257.29
  4. Step 4: Simplify right side
    1,788.29x = 3,103,425.37
  5. Step 5: Solve for x
    x = 3,103,425.37/1,788.29
  6. Step 6: Final answer
    x = 1,735.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.